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in Sets, relations and functions by (53.5k points)

If f(x) = 1/[|sin x|+|cos x|] (where [·] denotes the greatest integer function), then

(A) f(x) is an even function

(B) f(x) is an odd function

(C) The range of f(x) contains two elements

(D) None of these

1 Answer

+1 vote
by (53.4k points)
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Best answer

Correct option  (A) f(x) is an even functiona

Explanation :

f (x) = − f (-x)

Hence, f(x) is an even function.

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